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Solutions with Singular Initial Data for a Model of Electrophoretic Separation

Published online by Cambridge University Press:  20 November 2018

Joel D. Avrin*
Affiliation:
University of North Carolina at Charlotte, Charlotte, North Carolina 28223
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Abstract

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Unique global strong solutions of a Cauchy problem arising in electrophoretic separation are constructed with arbitrary initial data in L 1, thus generalizing an earlier global existence result. For small diffusion coefficients, the solutions can be viewed as approximate solutions for the corresponding zero-diffusion Riemann problem.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1990